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14205405144 = 233784555983
BaseRepresentation
bin11010011101011010…
…10100011111011000
31100122222222100110110
431032231110133120
5213043040431034
610305331044320
71012010644230
oct151655243730
940588870413
1014205405144
11602a643157
1229054406a0
131455039498
1498a8a4cc0
155821a8de9
hex34eb547d8

14205405144 has 32 divisors (see below), whose sum is σ = 40586872320. Its totient is φ = 4058687136.

The previous prime is 14205405133. The next prime is 14205405163. The reversal of 14205405144 is 44150450241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42277824 + ... + 42278159.

It is an arithmetic number, because the mean of its divisors is an integer number (1268339760).

Almost surely, 214205405144 is an apocalyptic number.

14205405144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14205405144 is an abundant number, since it is smaller than the sum of its proper divisors (26381467176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14205405144 is a wasteful number, since it uses less digits than its factorization.

14205405144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84555999 (or 84555995 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 14205405144 its reverse (44150450241), we get a palindrome (58355855385).

The spelling of 14205405144 in words is "fourteen billion, two hundred five million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 84555983 169111966 253667949 338223932 507335898 591891881 676447864 1014671796 1183783762 1775675643 2029343592 2367567524 3551351286 4735135048 7102702572 14205405144